It was written by Heini Halberstam and Klaus Roth, published in 1966 by the Clarendon Press, and republished in 1983 with minor corrections by Springer-Verlag.

[3][6][7][8] After a chapter on sieve theory and the large sieve (unfortunately missing significant developments that happened soon after the book's publication),[6][7] the final chapter concerns primitive sequences of integers, sequences like the prime numbers in which no element is divisible by another.

[6] Reviewer E. M. Wright notes the book's "accurate scholarship", "most readable exposition", and "fascinating topics".

[7] Knopp also praises the book for, in many cases, correcting errors or deficiencies in the original sources that it surveys.

[4] Reviewer Harold Stark writes that the book "should be a standard reference in this area for years to come".